What is the answer to (2x-3)/(3x+5)= 2/5 ?

The answer to (2x-3)/(3x+5)= 2/5 is x= 25/4

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(2x-3)/(3x+5)= 2/5

\frac{2 x - 3}{3 x + 5} = \frac{2}{5}

x = \frac{25}{4}

Decimal Notation

x = 6.25

Solution steps

\frac{2 x - 3}{3 x + 5} = \frac{2}{5}

Cross multiply

10 x - 15 = 6 x + 10

Move

15

to the right side

10 x = 6 x + 25

Move

6 x

to the left side

4 x = 25

Divide both sides by

4

x = \frac{25}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine undefined points with solutions:

x = \frac{25}{4}

\frac{x - 8}{n - 10} = \frac{n}{x}

a^{- 2} = 4

m, \frac{r + s}{mn} = p

\frac{1}{2 ( 5 x - 2 )} = 2 x + 4

x, \frac{11}{4 x} + 9 = 3

What is the answer to (2x-3)/(3x+5)= 2/5 ?
The answer to (2x-3)/(3x+5)= 2/5 is x= 25/4
Solve for x: (2x-3)/(3x+5)= 2/5
The solution is x= 25/4